Carter Motor Company claims that its new sedan, the Libra, will average better than 28 miles per gallon in the city. Identify the type I error for the test.
A) The error of failing to reject the claim that the mean is at most 28 miles per gallon when it is actually greater than 28 miles per gallon.
B) The error of rejecting the claim that the mean is at most 28 miles per gallon when it really is at most 28 miles per gallon.
C) The error of rejecting the claim that the true proportion is more than 28 miles per gallon when it really is more than 28 miles per gallon.
Question 2
The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of the seventh-graders at a neighboring school,
which have variation described by = 14.7. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
A) There is not sufficient evidence to support the claim that the standard deviation is greater than 14.7.
B) There is sufficient evidence to support the claim that the standard deviation is less than 14.7.
C) There is not sufficient evidence to support the claim that the standard deviation is less than 14.7.
D) There is sufficient evidence to support the claim that the standard deviation is greater than 14.7.
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